Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.

Answers

Answer 1

Answer:

95% of these scores are between 210 and 362.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 286, Standard deviation = 38

Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.

This is within 2 standard deviations of the mean. So

286 - 2*38 = 286 - 76 = 210

286 + 2*38 = 286 + 76 = 362

95% of these scores are between 210 and 362.


Related Questions

find a fraction equivalent to 1/2

Answers

Answer:

50/100

Step-by-step explanation:

it is a half becaus 50 is half of 100 1 is hal of 2

you can multiply both the numerator and the denominator with the same number to get an equivalent fraction. for example:

2/4
3/6
4/8
5/10
6/12

does this answer your question?

What is 2/3-5/9 in 5th grade math

Answers

Answer:

0.111111

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=2×3/3×3-5×1/9×1

=6/9-5/9

=6-5/9

=1/9

Please mark me brainliest.Ok

A jar is filled with buttons of various colors. If the jar has a total of 420 buttons and 85% of the buttons are green, how many green buttons are in the jar?
Group of answer choices

Answers

420x.85=357
this makes since since 357/420= 85%. Brainlist ?

Please help me! I’m begging you I’ll mark you brainly! I need it by now

Answers

Answer:

Boxes at the top are as follows

Monomial. 1. 4x

Binomial. 2. 4x+2

Trinomial. 3.

Polynomial. More than 3.

[tex] {5x}^{4} + {2x}^{3} + {12x}^{2} + 135 [/tex]

This would be an example of a polynomial ^

Omit the next highest term to get a trinomial etc

1. 4th degree. Leading term:

[tex] {x}^{4} [/tex]

Leading coefficient: x

2. 2nd degree. Leading term:

[tex] - {7x}^{2} [/tex]

Leading coefficient: -7x

It's a little confusing to read but that should be everything. Sorry it's not organized better

The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?

Answers

i’m not sure but i think it’s 120

Plot and connect the points A (3, 1), B (5. 3), C(2,5), D (-1,5), E (-4,3), F (-2, 1), and find the length of DC.

A. 2 units
B. 4 units
C. 3 units
D. 5 units
how do i find the answer​

Answers

Answer:

d = √[(-2 - 3)2 + (1 - 1)2] = √25 = 5 units

-5.8c +4.2 – 3.1 + 1.4c


Solve this for me

Answers

Answer:

-4.4c+1.1

Step-by-step explanation:

Plz help if you can help

Answers

Answer:

A) 2x = -20 and C) x = -10

Step-by-step explanation:

2/5x = -4

5 •  2/5x = 5(-4)        Multiply terms to eliminate the denominator

2x = -20       Cancel the multiplied terms

2x/2 = -20/2      Divide

x = -10

Hope this helps

A car was bought for $20,000 and has depreciated at a rate of 10% yearly. Find the price of the car 8 years later.

Answers

Answer:

$4,000

Step-by-step explanation:

10% of $20,000 is $2,000, which means the price of the car is decreasing by $2,000 each year. After 8 years, the price of the car has decreased by $16,000 ($2,000 times 8 years). The totals cost of the car is now $4,000, as it was originally $20,000, but decreased by $16,000. (20,000-16,000=4,000).

Three cans of tuna cost $2.00. How many cans of tuna can you buy for $12.00?
Best answer gets the brain thing

Answers

Answer:

6

Step-by-step explanation:

Answer:

3 cans cost 2

1 can cost 2/3                    

 I wrote 2/3 to make it easier so you don't have to write in cents

2/3 can be spend to buy 1 can

12 can be spend to buy (2/3)(12) can

(2/3)(12)=8 cans

So the answer is 8 cans

You can buy 8 cans of tuna with 12 dollars

plz help due in 10 min

Answers

Answer:

the answer is A <_______________^______________

Could I plz have help of this

Answers

Answer:

wow um ok ill try?(if that counts)

Step-by-step explanation:

8x to 30y?

help ME PLS

WILL MARK BRAINLIEST

Answers

Answer:

62b+27nb-12n-12

Step-by-step explanation:

u gotta combine like terms

Answer:

-0.7 .................

Lin’s second pan has a length of \frac{8}{3} inches, a width of \frac{15}{4} inches, and a height of \frac{3}{2} inches.

Answers

Answer:

15

Step-by-step explanation: so i did 8/3 x 15/4 x 3/2 and got 15

For the image above which action below allows the scale to be balanced

Answers

the answer is A because if you add 4 more it can balance more

What is the image point of ( 0, 4) after a translation right 2 units and down 3 units

Answers

Answer:

(2, 1)

Step-by-step explanation:

To do this add 2 to the x-value and subtract 3 from the y-value.

(0+2, 4-3) = (2, 1)

Answer:

(2,1)

Step-by-step explanation:

0+2=2

4-3=1

look at the graph and move ur mose however many counter to the right if its the right left if its left and then down if its down then up if its up

2х + 3 = 6x - 9
Show work please

Answers

Answer:

x=3

Step-by-step explanation:

subtract 2x from both sides then you are left with 3=4x-9

add 9 to both sides then you have 12=4x then divide both sides by 4 and x=3

Answer:

x=3

Step-by-step explanation:

2x+3=6x-9

subtract 3 both sides

2x=6x-12

subtract 6 x both sides

-4x=-6

divide 4 both sides

-x=-3 simplify (divide both sides by -1)

x=3

Angie has $1,900 in her savings account. If the bank pays 5% simple interest on savings, What is the total amount of money she will have in her account after 5 years?

Answers

1,900 x 0.05 x 5 = 475
It’s 475 for sure trust

PLEASE HELP!!!!

A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?

Answers

Work backwards $16.50 a $4.00 is $12.50. That got you the first mile.
The $12.50 / $1.25 per mile is ten more miles

Total length of ride is ten plus one or eleven miles

Are buying a drink and buying popcorn independent or dependant events

Answers

It's a Dependent events
I believe independent events

I think of two consecutive odd numbers, five times the smaller plus three times the larger is 62. Find the numbers.

Answers

Answer:

7 and 9

Step-by-step explanation:

Variables:

x = smaller number

y = larger number

We can set up two equations with the information given:

5x + 3y = 62

and

y = x + 2

We get the second equation with the information that the two numbers are consecutive and both odd. therefore the smaller number is two less than the larger number, and the larger number is two greater than the smaller number.

Next, we need to replace our y in the first equation with the y in the second:

5x + 3y = 62

5x + 3 (x+2) = 62

5x + 3x + 6 = 62

8x = 56

x (smaller number) = 7

Finally, we solve for the larger number by placing it back into the second equation:

y = x + 2

y = 7 + 2

y (larger number) = 9

I hope this helps!

-TheBusinessMan

A rate in which the first quantity is compared to 1 unit of the second quantity

Answers

Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

Fifteen pieces of paper are numbered 1 to 15 and placed in a container. One piece of paper is selected at random, then replaced. The second piece of paper is selected at random. What is the probability that the first piece of paper is marked with a number less than 5 and the second piece of paper is marked with a 12?

Answers

12/15 and 1/15 is the prob

round 429,713 to the nearest tens


will make brainliest

Answers

Answer:

429.7

Step-by-step explanation:

Answer:

429,710

Step-by-step explanation:


A person standing close to the edge on top of a 72-foot building throws a ball vertically upward. The
quadratic function h = - 16ť+ 136t + 72 models the ball's height about the ground, h, in feet, t seconds after it was thrown.
a) What is the maximum height of the ball?
feet
b) How many seconds does it take until the ball hits the ground?
seconds

Answers

Answer:

I hope this helps.

Step-by-step explanation:

h(t) = -16t2 + 108t + 28

 

(a)

 

Maximum height occurs at the vertex of the height-vs.-time parabola, which is at

 

t = -108/[2(-16)] sec = ? sec

 

Evaluate h(t) at this value of t to get hmax.

 

(b)

 

Set h(t) = 0 and solve the quadratic equation for t.  You will get a positive and a negative solution.  Discard the negative solution, since time starts at t = 0.

The quadratic function, h = -16t + 136t + 72, gives us:

a) The maximum height of the ball is 360 feet.

b) The time taken by the ball to hit the ground is 9 seconds.

What is a quadratic function?

A quadratic function is a function over a quadratic expression, that is, over an expression having degree 2.

How to solve the question?

In the question, we are informed that a person standing close to the edge of a 72-foot building throws a ball vertically upward. The quadratic function h = -16t² + 136t + 72 models the ball's height above the ground, h in feet, t seconds after it was thrown.

We solve the following:-

a) What is the maximum height of the ball?

The maximum height of the ball can be obtained by differentiating the given quadratic function, h = -16t² + 136t + 72.

Differentiating both sides. we get:

[tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] .

To get point of inflection, we equate this to 0, to get:

[tex]\frac{\delta h}{\delta t} = -32t + 136 = 0[/tex],

or, -32t + 136 = 0,

or, t = 136/32 = 4.5.

To check whether the value of h is maximum/minimum at t = 4.5, we differentiate [tex]\frac{\delta h}{\delta t} = -32t + 136[/tex] again, to get:

[tex]\frac{\delta^{2} h}{\delta t^{2} } = -32[/tex] , which is < 0, which that implies, h is maximum at t = 4.5.

Now, we calculate the maximum height, by putting in t = 4.5, in the equation, to get:

h = -16(4.5)² + 136(4.5) + 72,

or, h = -16(20.25) + 612 + 72,

or, h = -324 + 684 = 360.

Therefore, The maximum height of the ball is 360 feet.

b) How many seconds does it take until the ball hits the ground?

The time taken can be calculated by putting the value of h = 0, and solving the quadratic function h = -16t² + 136t + 72, as the height of the ball at the ground is 0.

Therefore, it can be written as:

0 = -16t² + 136t + 72.

or, 16t² - 136t - 72 = 0.

Solving this using the quadratic equation, we get:

[tex]t = \frac{-(-136)\pm \sqrt{(-136)^{2} - 4(16)(-72)}}{2(16)}[/tex] ,

or, [tex]t = \frac{136\pm \sqrt{18496 + 4608}}{32}[/tex] ,

or, [tex]t = \frac{136\pm \sqrt{23104}}{32}[/tex] ,

or, [tex]t = \frac{136\pm 52}{32}[/tex]

Therefore, either t = (136+152)/32 = 9,

or, t  (136 - 152)/32 = -0.5.

Since t represents time, we won't take the negative value, and hence t = 9.

Therefore, The time taken by the ball to hit the ground is 9 seconds.

Learn more about quadratic equations at

https://brainly.com/question/15340389

#SPJ2

In which of the following expressions is 5 a coefficient?
19x + 4y + 5
7x2 + 4x5 + 2
x + 3 + 2 – x
5y + 4z

Answers

Answer:

5y + 4z

Step-by-step explanation:

hope that helps :)

Mr. Clark sold 280 bags of chips and 415 bottles of juice in 5 days. At this rate, Mr. Clark will sell bottles of juice in 12 days.

Answers

Answer:

is answer is 8,340

Step-by-step explanation:

add 280 and 415 and get 695

then multiply by 5 and get 3,475

then multiply 695 by 12 and get 8,340

The following dot plot shows the number of
players at each table in Bill's Bingo Hall. Each
dot represents a different table.
.
:
0 1 2 3 4 5 6 7 8
Number of players
What is the highest number of players at a
table?
players

Answers

Answer:

0

Step-by-step explanation:

https://brainly.com/question/20659247 Someone please help I seriously need it just use the link know what here you go if you dont wanna use the link

Answers

6•6=24 then dived by 3

III
4.09 Unit Test: Lines - Part 1
What is an equation in point-slope form for the line that passes through the points (4, -1) and (-3,4)?
A.y+4= -(0+3)
B.y-3= -(x+4)
C.y+4= (x+3)
D.y-4= -(x+3)
Quick please

Answers

Answer:

D.y-4=-5/7(X=3)

Hope this helps!!!

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